(t+1)dx=2xdt

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Solution for (t+1)dx=2xdt equation:


Simplifying
(t + 1) * dx = 2xdt

Reorder the terms:
(1 + t) * dx = 2xdt

Reorder the terms for easier multiplication:
dx(1 + t) = 2xdt
(1 * dx + t * dx) = 2xdt

Reorder the terms:
(dtx + 1dx) = 2xdt
(dtx + 1dx) = 2xdt

Solving
dtx + 1dx = 2dtx

Solving for variable 'd'.

Move all terms containing d to the left, all other terms to the right.

Add '-2dtx' to each side of the equation.
dtx + -2dtx + 1dx = 2dtx + -2dtx

Combine like terms: dtx + -2dtx = -1dtx
-1dtx + 1dx = 2dtx + -2dtx

Combine like terms: 2dtx + -2dtx = 0
-1dtx + 1dx = 0

Factor out the Greatest Common Factor (GCF), 'dx'.
dx(-1t + 1) = 0

Subproblem 1

Set the factor 'dx' equal to zero and attempt to solve: Simplifying dx = 0 Solving dx = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dx = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(-1t + 1)' equal to zero and attempt to solve: Simplifying -1t + 1 = 0 Reorder the terms: 1 + -1t = 0 Solving 1 + -1t = 0 Move all terms containing d to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1t = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1t = 0 + -1 -1t = 0 + -1 Combine like terms: 0 + -1 = -1 -1t = -1 Add 't' to each side of the equation. -1t + t = -1 + t Combine like terms: -1t + t = 0 0 = -1 + t Simplifying 0 = -1 + t The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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